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3 years ago

What is the slope of the line that passes through the points (8,4) and (20,-4)?

Mathematics

1 answer:

irga5000 [103]3 years ago

6 0

Answer:

for (8,4) is 2 and for (20,_4) is _5

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Continue the following pattern; describe the eighth figure in this pattern

Bumek [7]

The correct answer would be C. Hope that helps.

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3 years ago

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Ivan used coordinate geometry to prove that quadrilateral EFGH is a square.

Gelneren [198K]

Answer:

(A)Segment EF, segment FG, segment GH, and segment EH are congruent

Step-by-step explanation:

Step 1

Quadrilateral EFGH with points E(-2,3), F(1,6), G(4,3), H(1,0)

Step 2

Using the distance formula

$Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Given E(-2,3), F(1,6)

$|EF|=\sqrt{(6-3)^2+(1-(-2))^2}=\sqrt{3^2+3^2}=\sqrt{18}=3\sqrt{2}$

Given F(1,6), G(4,3)

$|FG|=\sqrt{(3-6)^2+(4-1)^2}=\sqrt{3^2+3^2}=\sqrt{18}=3\sqrt{2}$

Given G(4,3), H(1,0)

$|GH|=\sqrt{(0-3)^2+(1-4)^2}=\sqrt{(-3)^2+(-3)^2}=\sqrt{18}=3\sqrt{2}$

Given E (−2, 3), H (1, 0)

$|EH|=\sqrt{(0-3)^2+(1-(-2))^2}=\sqrt{(-3)^2+(3)^2}=\sqrt{18}=3\sqrt{2}$

Step 3

Segment EF ,E (−2, 3), F (1, 6)

Slope of |EF|= $\frac{6-3}{1+2} =\frac{3}{3}=1$

Segment GH, G (4, 3), H (1, 0)

Slope of |GH| $= \frac{0-3}{1-4} =\frac{-3}{-3}=1$

Step 4

Segment EH, E(−2, 3), H (1, 0)

Slope of |EH| $= \frac{0-3}{1+2} =\frac{-3}{3}=-1$

Segment FG, F (1, 6,) G (4, 3)

Slope of |EH| $=\frac{3-6}{4-1} =\frac{-3}{3}=-1$

Step 5

Segment EF and segment GH are perpendicular to segment FG.

The slope of segment EF and segment GH is 1. The slope of segment FG is −1.

Step 6

Segment EF, segment FG, segment GH, and segment EH are congruent.

The slope of segment FG and segment EH is −1. The slope of segment GH is 1.

Step 7

All sides are congruent, opposite sides are parallel, and adjacent sides are perpendicular. Quadrilateral EFGH is a square

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3 years ago

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John left a $2 tip for the server when stopped at a diner. If this was 20% of his order total, how much was his order?

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The answer is 10 dollars

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2 years ago

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Please help Magan recorded the grade-level and instrument of everyone in the middle school

jeyben [28]

Answer:

$Probability = \frac{11}{40}$

Step-by-step explanation:

Given

See attachment

Required

The probability that a 7th grader selected will play guitar.

From the attachment, we have:

$7th\ graders =11+8+8+13$

$7th\ graders =40$

7th graders that can play guitars are:

$Guitars = 11$

So, the probability is:

$Probability = \frac{Guitars}{7th\ graders}$

$Probability = \frac{11}{40}$

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3 years ago

Hi, please help

SOVA2 [1]

Answer:

A. 133 degrees

Step-by-step explanation:

You add the two known interior numbers in the triangle to find the unknown exterior variable. In this case, the two known interior numbers are 83 and 50. 83 + 50 = 133

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3 years ago